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Simplifying 3(4x + -20) + 3 = 3x + 78 Reorder the terms: 3(-20 + 4x) + 3 = 3x + 78 (-20 * 3 + 4x * 3) + 3 = 3x + 78 (-60 + 12x) + 3 = 3x + 78 Reorder the terms: -60 + 3 + 12x = 3x + 78 Combine like terms: -60 + 3 = -57 -57 + 12x = 3x + 78 Reorder the terms: -57 + 12x = 78 + 3x Solving -57 + 12x = 78 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -57 + 12x + -3x = 78 + 3x + -3x Combine like terms: 12x + -3x = 9x -57 + 9x = 78 + 3x + -3x Combine like terms: 3x + -3x = 0 -57 + 9x = 78 + 0 -57 + 9x = 78 Add '57' to each side of the equation. -57 + 57 + 9x = 78 + 57 Combine like terms: -57 + 57 = 0 0 + 9x = 78 + 57 9x = 78 + 57 Combine like terms: 78 + 57 = 135 9x = 135 Divide each side by '9'. x = 15 Simplifying x = 15
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